Simplify x/(x+3)+3

$\frac{x}{x + 3} + 3$

To write $3$ as a fraction with a common denominator, multiply by $\frac{x + 3}{x + 3}$ .

$\frac{x}{x + 3} + \frac{3 (x + 3)}{x + 3}$

Combine the numerators over the common denominator.

$\frac{x + 3 (x + 3)}{x + 3}$

Simplify the numerator.

Apply the distributive property.

$\frac{x + 3 x + 3 \cdot 3}{x + 3}$

Multiply $3$ by $3$ .

$\frac{x + 3 x + 9}{x + 3}$

Add $x$ and $3 x$ .

$\frac{4 x + 9}{x + 3}$